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Simplifying x + -6 = 40 + -12(x + 6) Reorder the terms: -6 + x = 40 + -12(x + 6) Reorder the terms: -6 + x = 40 + -12(6 + x) -6 + x = 40 + (6 * -12 + x * -12) -6 + x = 40 + (-72 + -12x) Combine like terms: 40 + -72 = -32 -6 + x = -32 + -12x Solving -6 + x = -32 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6 + x + 12x = -32 + -12x + 12x Combine like terms: x + 12x = 13x -6 + 13x = -32 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + 13x = -32 + 0 -6 + 13x = -32 Add '6' to each side of the equation. -6 + 6 + 13x = -32 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = -32 + 6 13x = -32 + 6 Combine like terms: -32 + 6 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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